A general notion of noncommutative Krull rings (Q1097939)

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scientific article; zbMATH DE number 4036007
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English
A general notion of noncommutative Krull rings
scientific article; zbMATH DE number 4036007

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    A general notion of noncommutative Krull rings (English)
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    1988
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    Using an idea of Passman, the authors give a characterization of the symmetric maximal quotient ring (and other quotient rings) and they prove that it is indeed left-right symmetric. The notion of a Krull ring as in the sense of Miyashita is reintroduced. This notion is studied in connection with Asano orders, defined within the symmetric Martindale ring of quotients.
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    symmetric maximal quotient ring
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    Krull ring
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    Asano orders
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    Martindale ring of quotients
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